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Finding the Fourth Proportional to 17,114.40, 23,617.52 and 9,662.40

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Solution

The fourth proportional to 17,114.40, 23,617.52 and 9,662.40 is: 13,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.40 : 23,617.52 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    17,114.40/23,617.52 = 9,662.40/x
  3. Step 3: Cross multiply
    17,114.40x = 23,617.52 × 9,662.40
  4. Step 4: Simplify right side
    17,114.40x = 228,201,925.25
  5. Step 5: Solve for x
    x = 228,201,925.25/17,114.40
  6. Step 6: Final answer
    x = 13,333.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.